Cremona's table of elliptic curves

1464 = 2³ · 3 · 61

Field	Data	Notes
Atkin-Lehner	2- 3+ 61-	Signs for the Atkin-Lehner involutions
Class	1464f	Isogeny class
Conductor	1464	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	217798500824064 = 210 · 320 · 61	Discriminant
Eigenvalues	2- 3+ -2  0  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-20984,936924]	[a1,a2,a3,a4,a6]
Generators	[-42:1320:1]	Generators of the group modulo torsion
j	997951153588708/212693848461	j-invariant
L	2.1898627692733	L(r)(E,1)/r!
Ω	0.52982908891018	Real period
R	4.133149377996	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2928e4 11712j3 4392c4 36600l3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1464f3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	-2	0	0	-2	6	4	4	-6	-8	-10	2	-4	0	-6	0	-	4	4	-6	0	-4	6	-14

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Quadratic twists for elliptic curve 1464f3

-4	8	-3	5	-7	61
2928e4	11712j3	4392c4	36600l3	71736n3	89304d3

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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